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arXiv · 1505.04036

Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases

Krzysztof Gawryluk·Tomasz Karpiuk·Mariusz Gajda·Kazimierz Rzazewski·Miroslaw Brewczyk
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Abstract

In this work we present a very simple and efficient numerical scheme which can be applied to study the dynamics of bosonic systems like, for instance, spinor Bose-Einstein condensates with nonlocal interactions but equally well works for Fermi gases. The method we use is a modification of well known Split Operator Method (SOM). We carefully examine this algorithm in the case of $F=1$ spinor Bose-Einstein condensate without and with dipolar interactions and for strongly interacting two-component Fermi gas. Our extension of the SOM method has many advantages: it is fast, stable, and keeps constant all the physical constraints (constants of motion) at high level.

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Krzysztof Gawryluk, Tomasz Karpiuk, Mariusz Gajda, Kazimierz Rzazewski, Miroslaw Brewczyk. 2015-05-15. Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases. https://doi.org/10.1080/00207160.2017.1370545

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